3 papers
math.CT2026
Flat and Ghost dimensions in tensor triangulated categories with a compact tilting generator
Xiaoyan Yang
Let be a tensor triangulated category with a compact tilting generator and abelian heart . We define a triangulated flat dimensi…
math.CT2026
Finitistic dimensions in triangulated categories with a compact silting generator
Xiaoyan Yang
This paper studies finitistic dimensions in triangulated categories with a compact silting generator. We unify several notions of (big) finitistic dimension appearing in the litera…
math.RT2026
Chains of model structures arising from cotorsion pairs on extriangulated categories
Dandan Sun, Xiaoyan Yang, Dongdong Zhang +2
The main aim of this paper is to study chains of model structures arising from cotorsion pairs in extriangulated categories. Starting with a hereditary Hovey triple, we construct f…